English

One-dimensional anyons in relativistic field theory

High Energy Physics - Theory 2018-04-11 v2 Statistical Mechanics High Energy Physics - Lattice

Abstract

We study relativistic anyon field theory in 1+1 dimensions. While (2+1)-dimensional anyon fields are equivalent to boson or fermion fields coupled with the Chern-Simons gauge fields, (1+1)-dimensional anyon fields are equivalent to boson or fermion fields with many-body interaction. We derive the path integral representation and perform the lattice Monte Carlo simulation.

Keywords

Cite

@article{arxiv.1709.06323,
  title  = {One-dimensional anyons in relativistic field theory},
  author = {Arata Yamamoto},
  journal= {arXiv preprint arXiv:1709.06323},
  year   = {2018}
}
R2 v1 2026-06-22T21:47:56.782Z